Math/Balance of Lanterns

I was working on some math/simulations on top of Lanterns (https://boardgamegeek.com/boardgame/160851/lanterns-harvest-festival). Will keep updating this thread as I find more interesting things. For now:

List of all tiles in Lanterns:

Colors are:

R=RED
B=BLUE
G=GREEN
Y=YELLOW
P=PINK
K=BLACK
W=WHITE

Each tile is described clockwise with 4 colors going form north->east->south->west. There are total 24 “normal” tiles and the last one is the starting tile,

BKWG, YPWR, YKPR, PPKP, GBKY, GRGG, RGKR
KYRW, WYPW, YGWG, KWYP, BYBG, PBBK, YYPY
BWGP, KWKY, YBPK, GPRK, KGBR, BWYP, GRYW
WRGW, BWGP, PWRB, PRGB, RWKB, BRWK

Note that the BRWK at the end is the starting tile.

These are the platform tiles (Total 9)

KRYR*, BWBK*, PRKK*, YYBW*, PBPG*
YBYB*, KWKW*, GGRR*, PRGP*,

Color Distribution

How many times does each color show across all(including platform) tiles:

RED: 20
BLUE: 21
GREEN: 20
YELLOW: 20
PINK: 21
BLACK: 21
WHITE: 21

How many times does each color show up across all platform tiles (so there are 4 red platform tiles, but they have 6 red sections total).

RED: 6
BLUE: 6
GREEN: 6
YELLOW: 7
PINK: 6
BLACK: 6
WHITE: 7

How many tiles are there with atleast one-of-this color:

RED: 17
BLUE: 17
GREEN: 16
YELLOW: 16
PINK: 17
BLACK: 18
WHITE: 18

How many platform tiles are there with atleast one-of-this-color:

RED: 4
BLUE: 4
GREEN: 4
YELLOW: 5
PINK: 4
BLACK: 4
WHITE: 5

Looks pretty balanced so far. However, remember that the starting tile is pre-decided (BRWK).

I might do some fancy graphs later if I get time.

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